BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity

@article{49301,
   author = {Konoplya, Roman and Zhydenko, Olexandr},
   article_location = {US - Spojené státy americké},
   article_number = {6},
   doi = {http://dx.doi.org/10.1103/PhysRevD.102.064004},
   keywords = {Lovelock generalization ; Bailados-Teitelboim-Zanelli solution; higher curvature (Gauss-Bonnet and Lovelock)},
   language = {eng},
   issn = {1550-7998},
   journal = {Physical Review D},
   title = {BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.064004},
   volume = {102},
   year = {2020}
}

TY  - JOUR
ID  - 49301
AU  - Konoplya, Roman - Zhydenko, Olexandr
PY  - 2020
TI  - BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity
JF  - Physical Review D
VL  - 102
IS  - 6
SP  - "064004-1"-"064004-8"
EP  - "064004-1"-"064004-8"
SN  - 15507998
KW  - Lovelock generalization
KW  - Bailados-Teitelboim-Zanelli solution
KW  - higher curvature (Gauss-Bonnet and Lovelock)
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.064004
N2  - The regularization procedure for getting the four-dimensional nontrivial Einstein-Gauss-Bonnet effective description of gravity and its Lovelock generalization has been recently developed. Here we propose the regularization for the three-dimensional gravity, which is based on the resealing of the coupling constants and, afterward, taking the limit D -> 3. We obtain the generalization of the Bailados-Teitelboim-Zanelli solution in the presence of the higher curvature (Gauss-Bonnet and Lovelock) corrections of any order. The obtained general solution shows a peculiar behavior: The event horizon is allowed not only for asymptotically anti-de Sitter spacetimes, but also for the de Sitter and flat cases, when the Gauss-Bonnet coupling constant is negative. The factor of the electric charge is analyzed as well for various branches of the solution, and the Hawking temperature is obtained.
ER  - 

KONOPLYA, Roman and Olexandr ZHYDENKO. BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity. \textit{Physical Review D}. US - Spojené státy americké, 2020, vol.~102, No~6, p.~''064004-1''-''064004-8'', 8 pp. ISSN~1550-7998. Available from: https://dx.doi.org/10.1103/PhysRevD.102.064004.